How did americans throw off british rule and establish can independent republic?

The Continental Congress declared King George a tyrant who trampled the colonists' rights as Englishmen, and they declared the colonies free and independent states on July 2, 1776. ... Finally, a combined American and French force captured a second British army at Yorktown in the fall of 1781, effectively ending the war.

Explanation:

                the united states presidential election of 1912 was the 32nd quadrennial presidential election, held on tuesday, november 5, 1912. the election was a rare four-way contest.

                incumbent president william howard taft was renominated by the republican party with the support of its conservative wing. after former president theodore roosevelt failed to receive the republican nomination, he called his own convention and created the progressive party (nicknamed the "bull moose party"). it nominated roosevelt and ran candidates for other offices in major states. democrat woodrow wilson was finally nominated on the 46th ballot of a contentious convention, to the support of william jennings bryan, the three-time democratic presidential candidate who still had a large and loyal following in 1912. eugene v. debs, running for a fourth time, was the nominee of the socialist party of america.

                wilson won the election, gaining a large majority in the electoral college and winning 42% of the popular vote, while roosevelt won 27%, taft 23% and debs 6%. wilson became the only elected president from the democratic party between 1892 and 1932, and the second of only two democrats to be elected president between 1860 and 1932. this was the last election in which a candidate who was not a republican or democrat came second in either the popular vote or the electoral college, and the first election in which all 48 states of the contiguous united states participated.

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roosevelt believed that in light of the country's recent military successes, it was unnecessary to use force to achieve foreign policy goals, so long as the military could threaten force. this belief, and his strategy of “speaking softly and carrying a big stick,” shaped much of roosevelt's foreign policy.